Hemifamity temperaments: Difference between revisions

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= Tricot =
= Tricot =
The generator for tricot temperament is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.
The generator for [[Tricot|tricot temperament]] is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[Tricot|tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit, 2430/2401 (nuwell comma) and 5120/5103 in the 7-limit, 99/98 and 121/120 in the 11-limit, 169/168, 352/351, 640/637, and 729/728 in the 13-limit.


== 5-limit ==
== 5-limit ==
Comma: {{monzo | 39 -29 3 }} = 68719476736000/68630377364883
Comma: {{monzo | 39 -29 3 }} = 68719476736000/68630377364883


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Map: [&lt;1 0 -13 -3 -5|, &lt;0 3 29 11 16|]
Map: [&lt;1 0 -13 -3 -5|, &lt;0 3 29 11 16|]


EDOs: {{EDOs| 17c, 36ce, 53, 176de, 229ddee, 282ddeee }}
EDOs: {{EDOs| 17c, 36ce, 53, 176de }}


Badness: 0.0561
Badness: 0.0561